Mortgage repayment calculator
Repayments use the standard amortisation formula: P x [r(1+r)^n] / [(1+r)^n - 1]. Enter the loan amount, rate and term to calculate.
Principal against interest over 30 years46.9% principal · 53.1% interest
Principal$750,00046.9%Interest$848,97353.1%
Source: Reserve Bank of NZ published averages · Effective 2026-09-30 · Checked 2026-10-10Using Reserve Bank of NZ rates
How it works
The calculator uses the standard amortising loan formula. Each repayment covers the interest accrued since the last one, and whatever is left over reduces the balance. Early on, most of the payment is interest. Later, most of it is principal.
Changing frequency recalculates the payment, not the loan term. Interest uses the annual rate divided by payments per year, so total interest varies slightly with frequency.
The formula
Nothing is hidden here. This is the calculation running behind the number above.
payment = P × r ÷ (1 − (1 + r)⁻ⁿ)
Pthe amount borrowed
rthe interest rate for one period — annual rate ÷ payments per year
ntotal number of payments — years × payments per year
A worked example
Borrow $750,000 at 5.89% over 30 years, repaid fortnightly. The period rate is 5.89% ÷ 26, and there are 780 payments.
Common questions
Does repaying fortnightly actually save money?
Payments are recalculated over the same term. An accelerated schedule pays half the monthly amount every two weeks: 26 payments equal 13 monthly payments. That extra-payment schedule is not modelled.
What happens when my fixed term ends?
You refix at whatever rates are available then, or roll onto the floating rate. This calculator assumes one rate for the whole term, so treat long-term totals as a shape, not a promise.
Should I make extra repayments?
Every extra dollar comes straight off the principal, so it saves you every future interest charge on that dollar. Check whether your fixed loan limits extra repayments before you commit.
Why is the bank's number different from mine?
Banks round differently, may charge fees inside the repayment, and sometimes calculate interest daily rather than per period. Expect a difference of a few dollars, not a few hundred.
The rules behind this calculator
Written up, with the page each rule came from.
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Fortnightly repayments: frequency and extra payments
Changing frequency recalculates the payment. Paying half the monthly amount each fortnight adds extra payments. The calculator example separates the two.
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Loan-to-value restrictions: the current bank speed limits
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The OCR is the Reserve Bank’s main monetary policy tool; banks set their own mortgage and deposit rates in response to wider conditions.
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First Home Grant stopped accepting new applications in 2024; First Home Partner is fully subscribed and now supports its existing customers.
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